Bimetric Relativity and the Opera Neutrino Experiment

Abstract

We investigate the possibility of explaining the propagation of neutrinos measured by the OPERA experiment with $\delta v_{\nu }=(v_{\nu }-c_0)/c_0$, where $c_0$ is the speed of light in vacuum, using a bimetric relativity model. The geometry of the bimetric model has two metrics in spacetime. One metric $g_{\mu \nu }$ possesses a null cone along which massless gravitons and photons travel with the constant speed $c_0$, while the other `matter' metric ${\hat{g}}_{\mu \nu }=g_{\mu \nu }+\beta {\psi }_{\mu }{\psi }_{\nu }$ has a null cone with a bigger speed $c>c_0$ with $0<\delta v_{\nu }\ll c/c_0$. This second cone structure of spacetime prevents the neutrinos from being superluminal tachyons $v_{\nu }<c$. Such superluminal neutrinos would lead to severe depletion of neutrino energy, refuting the OPERA result. The charge-current source of the background gauge field ${\psi }_{\mu }$ is assumed to be baryon charge and the strength of the field ${\psi }_{\mu }$ is distance dependent, explaining the observation that for supernova SN1987a $v_{\nu }\simeq c_0$. Altering the path of the neutrinos through the earth or performing a space experiment can test the OPERA neutrino experimental result.

6 pages, 1 figure, typo corrected. Minor corrections

References in corpus (6)

• Measurement of the neutrino velocity with the OPERA detector in the CNGS beam
• New Constraints on Neutrino Velocities
• Measurement of neutrino velocity with the MINOS detectors and NuMI neutrino beam
• Lorentz- and CPT-violating models for neutrino oscillations
• On the Possibility of Superluminal Neutrino Propagation
• Overview of Lorentz Violation in Neutrinos

Cited by in corpus (9)

• Breaking the light speed barrier
• Superluminal Neutrinos from Special Relativity with de Sitter Space-time Symmetry
• Olber's Paradox for Superluminal Neutrinos: Constraining Extreme Neutrino Speeds at TeV-ZeV Energies with the Diffuse Neutrino Background
• A Resolution to Cherenkov-like Radiation of OPERA Neutrinos
• Superluminal neutrino energy spectrum of OPERA and MINOS
• Superluminal motion and Lorentzian symmetry breaking and repairing in two-metric theories
• Superluminal self-interacting neutrino
• General relativity and OPERA Experiment
• Common origin of superluminal neutrinos and DAMA annual modulation